@article{Liu2024, 
author = {Wenjuan Liu and Zhouyu Li},
title = {Global weighted regularity for the 3D axisymmetric non-resistive MHD system},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {8},
pages = {20905-20918},
keywords = {non-resistive MHD system, anisotropic Lorentz spaces, regularity criteria},
url = {https://www.sciopen.com/article/10.3934/math.20241017},
doi = {10.3934/math.20241017},
abstract = {We consider the regularity criteria of axisymmetric solutions to the non-resistive MHD system with non-zero swirl in  R3. By applying a new anisotropic Hardy-Sobolev inequality in mixed Lorentz spaces, we show that strong solutions to this system can be smoothly extended beyond the possible blow-up time  T if the horizontal angular component of the velocity belongs to anisotropic Lorentz spaces.}
}